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This paper proposes a new test for inequalities that are linear in possibly partially identified nuisance parameters. This type of hypothesis arises in a broad set of problems, including subvector inference for linear unconditional moment…

Methodology · Statistics 2025-11-06 Gregory Fletcher Cox , Xiaoxia Shi , Yuya Shimizu

The comparison of benchmark error sets is an essential tool for the evaluation of theories in computational chemistry. The standard ranking of methods by their Mean Unsigned Error is unsatisfactory for several reasons linked to the…

Methodology · Statistics 2020-09-29 Pascal Pernot , Andreas Savin

Recommender systems are personalized: we expect the results given to a particular user to reflect that user's preferences. Some researchers have studied the notion of calibration, how well recommendations match users' stated preferences,…

Information Retrieval · Computer Science 2019-09-17 Kun Lin , Nasim Sonboli , Bamshad Mobasher , Robin Burke

A key trait of stochastic optimizers is that multiple runs of the same optimizer in attempting to solve the same problem can produce different results. As a result, their performance is evaluated over several repeats, or runs, on the…

Machine Learning · Computer Science 2026-05-18 Moslem Noori , Elisabetta Valiante , Thomas Van Vaerenbergh , Masoud Mohseni , Ignacio Rozada

This paper introduces a statistical test inferring whether a variable allows separating two classes by means of a single critical value. Its test statistic is the prediction error of a nonparametric threshold classifier. While this approach…

Methodology · Statistics 2017-07-17 Fabian Schroeder

In a randomised clinical trial, when the result of the primary endpoint shows a significant benefit, the secondary endpoints are scrutinised to identify additional effects of the treatment. However, this approach entails a risk of…

We present the asymptotic distribution for two-sided tests based on the profile likelihood ratio with lower and upper boundaries on the parameter of interest. This situation is relevant for branching ratios and the elements of unitary…

Data Analysis, Statistics and Probability · Physics 2012-10-26 Glen Cowan , Kyle Cranmer , Eilam Gross , Ofer Vitells

What proportion of treated units actually benefited from an experimental intervention? What is the median or the largest individual treatment effect? This paper develops methods for answering such questions about the distribution of…

Methodology · Statistics 2026-05-11 David Kim , Yongchang Su , Jake Bowers , Xinran Li

This article describes an extension of classical \chi^2 goodness-of-fit tests to Bayesian model assessment. The extension, which essentially involves evaluating Pearson's goodness-of-fit statistic at a parameter value drawn from its…

Statistics Theory · Mathematics 2007-06-13 Valen E. Johnson

Promotions and discounts have become key components of modern e-commerce platforms. For online travel platforms (OTPs), popular promotions include room upgrades, free meals and transportation services. By offering these promotions,…

Machine Learning · Computer Science 2020-09-29 Dmitri Goldenberg , Javier Albert , Lucas Bernardi , Pablo Estevez

In online advertising, marketing interventions such as coupons introduce significant confounding bias into Click-Through Rate (CTR) prediction. Observed clicks reflect a mixture of users' intrinsic preferences and the uplift induced by…

Social and Information Networks · Computer Science 2026-02-16 Siyun Yang , Shixiao Yang , Jian Wang , Di Fan , Kehe Cai , Haoyan Fu , Jiaming Zhang , Wenjin Wu , Peng Jiang

While clinical trials are the state-of-the-art methods to assess the effect of new medication in a comparative manner, benchmarking in the field of medical image analysis is performed by so-called challenges. Recently, comprehensive…

Computer Vision and Pattern Recognition · Computer Science 2023-07-17 Annika Reinke , Georg Grab , Lena Maier-Hein

Predicting click and conversion probabilities when bidding on ad exchanges is at the core of the programmatic advertising industry. Two separated lines of previous works respectively address i) the prediction of user conversion probability…

Machine Learning · Statistics 2017-07-24 Eustache Diemert , Julien Meynet , Pierre Galland , Damien Lefortier

This work proposes $\chi^2$-type test statistics to assess different hypotheses on the local structure of an observed marked point pattern. The test statistics is based on the local inhomogeneous extension of the mark-weighted $K$-function…

Methodology · Statistics 2026-05-14 Nicoletta D'Angelo , Giada Adelfio , Matthias Eckardt

Bell tests are of profound statistical nature. Besides physical considerations, the proper understanding of their implications should involve detailed statistical analyses. In this regard, recent works have shown that their consequences and…

Quantum Physics · Physics 2025-06-10 Alfredo Luis

In our chapter we address the statistical analysis of percentiles: How should the citation impact of institutions be compared? In educational and psychological testing, percentiles are already used widely as a standard to evaluate an…

Digital Libraries · Computer Science 2014-04-16 Richard Williams , Lutz Bornmann

Higher criticism is a large-scale testing procedure that can attain the optimal detection boundary for sparse and faint signals. However, there has been a lack of knowledge in most existing works about its asymptotic distribution for more…

Statistics Theory · Mathematics 2025-11-11 Jingkun Qiu

It has been shown that for the analysis of X-ray spectra the C-statistic, contrary to the chi^2-statistic, provides unbiased estimates of the model parameters and their uncertainty ranges. However, it is often stated that the C-statistic…

High Energy Astrophysical Phenomena · Physics 2017-09-13 J. S. Kaastra

We introduce a new methodology that enables detection of the onset of convergence towards Nash equilibria in simple repeated games with infinitely large strategy spaces, thereby revealing the heuristics used in decision-making. The method…

General Finance · Quantitative Finance 2020-05-06 Jørgen Vitting Andersen , Philippe de Peretti

We discuss a one-sample location test that can be used in the case of high-dimensional data. For high-dimensional data, the power of Hotelling's test decrises when the dimension is close to the sample size. To address this loss of power,…

Statistics Theory · Mathematics 2014-05-13 Masashi Hyodo , Takahiro Nishiyama